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3 years ago

5

Find the missing value in the ratio table.

1 answer:

MAXImum [283]3 years ago

8 0

100000000000000000000

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On Saturdays, Jasmyn works three hours more than Eve. Which expression represents how many hours Jasmyn works on Saturdays?

RideAnS [48]

Th correct answer is B.

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4 years ago

Circular tracts of land with diameters 900 meters, 700 meters and 600 meters are tangent to each other externally. There are hou

Rudik [331]

Answer:

$\alpha=69.28^o$

$\beta=61.26^o$

$\gamma=49.46^o$

<em /> $A=227980.26\ m^2$ <em />

Step-by-step explanation:

<u>Triangle Solving</u>

If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.

The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are

$x=450+350=800$

$y=450+300=750$

$z=350+300=650$

The internal angles can be computed by using the cosine's law

$x^2=y^2+z^2-2yzcos\alpha$

$y^2=x^2+z^2-2xzcos\beta$

$z^2=x^2+y^2-2xycos\gamma$

Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:

$\displaystyle cos\alpha=\frac{y^2+z^2-x^2}{2yz}$

$\displaystyle cos\alpha=\frac{750^2+650^2-800^2}{2\cdot 750\cdot 650}$

$cos\alpha=0.3538$

$\alpha=69.28^o$

Similarly

$\displaystyle cos\beta=\frac{x^2+z^2-y^2}{2xz}$

$\displaystyle cos\beta=\frac{800^2+650^2-750^2}{2\cdot 800\cdot 650}$

$cos\beta=0.4808$

$\beta=61.26^o$

The other angle is computed now

$\displaystyle cos\gamma=\frac{x^2+y^2-z^2}{2xy}$

$\displaystyle cos\gamma=\frac{800^2+750^2-650^2}{2\cdot 800\cdot 750}$

$cos\gamma=0.65$

$\gamma=49.46^o$

The area can be found by

$\displaystyle A=\frac{1}{2}x.y.sin\gamma$

$\displaystyle A=\frac{1}{2}\cdot 800\cdot 750\cdot sin49.46^o$

$A=227980.26\ m^2$

8 0

3 years ago

What is 6.25 as a fraction?

Alik [6]

Wells since there's a decimal theres a whole number so its 6 and .25 as a fraction is 1/4 so its 6 1/4

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3 years ago

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Briiney is shorter than 5 feet Brittany's height =h

SVEN [57.7K]

If her height(h) is less than 5 ft, then it would be represented as h < 5

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3 years ago

Lettuce is packaged four bags to a box.if there are 3.5 boxes of lettuce in the cooler how many bags of lettuce would there be ?

Furkat [3]

To find how much bags of lettuce there would be, multiply 3.5 times 4.

3.5 x 4 = 14

There are 14 bags of lettuce in the cooler.

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4 years ago